13022131300200 has 576 divisors, whose sum is σ = 49022216305920. Its totient is φ = 3070027008000.

The previous prime is 13022131300193. The next prime is 13022131300207. The reversal of 13022131300200 is 200313122031.

13022131300200 is a `hidden beast` number, since 1 + 30 + 2 + 2 + 131 + 300 + 200 = 666.

It is an interprime number because it is at equal distance from previous prime (13022131300193) and next prime (13022131300207).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is not an unprimeable number, because it can be changed into a prime (13022131300207) by changing a digit.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 2242485697 + ... + 2242491503.

It is an arithmetic number, because the mean of its divisors is an integer number (85108014420).

Almost surely, 2^{13022131300200} is an apocalyptic number.

13022131300200 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 13022131300200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24511108152960).

13022131300200 is an abundant number, since it is smaller than the sum of its proper divisors (36000085005720).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

13022131300200 is a wasteful number, since it uses less digits than its factorization.

13022131300200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8938 (or 8926 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 18.

Adding to 13022131300200 its reverse (200313122031), we get a palindrome (13222444422231).

It can be divided in two parts, 13022131 and 300200, that added together give a palindrome (13322331).

The spelling of 13022131300200 in words is "thirteen trillion, twenty-two billion, one hundred thirty-one million, three hundred thousand, two hundred".